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Mostrando ítems 11-20 de 52
Artículo
Algorithms in Algebraic Topology and Homological Algebra: Problem of Complexity
(Springer, 2002)
This review tackles the problem of the high computational complexity lying in most algorithms in algebraic topology and homological algebra. Three particular algorithms are considered: the computation of the homology of ...
Artículo
Cohomología 3D y visualización
(Real Sociedad Matemática Española, 2004)
Proponemos un método para visualizar conceptos altamente abstractos en objetos tridimensionales, representados éstos como complejos simpliciales. Dichos conceptos son ciertos invariantes topológicos como los grupos de ...
Artículo
Topological signature for periodic motion recognition
(Cornell University, 2019)
In this paper, we present an algorithm that computes the topological signature for a given periodic motion sequence. Such signature consists of a vector obtained by persistent homology which captures the topological and ...
Artículo
Topology-based image segmentation using LBP pyramids
(Springer, 2016)
In this paper, we present a new image segmentation algorithmwhich is based on local binary patterns (LBPs) and the combinatorial pyramid and which preserves structural correctness and image topology. For this purpose, ...
Artículo
A new entropy based summary function for topological data analysis
(Elsevier, 2018)
Topological data analysis (TDA) aims to obtain useful information from data sets using topological concepts. In particular, it may help to infer from nite sample when a con guration space is a manifold. So far, there ...
Artículo
Two-hidden-layer feed-forward networks are universal approximators: A constructive approach
(ScienceDirect, 2020-11)
It is well-known that artificial neural networks are universal approximators. The classical existence result proves that, given a continuous function on a compact set embedded in an n-dimensional space, there exists a ...
Artículo
Simplicial-Map Neural Networks Robust to Adversarial Examples
(MDPI [Commercial Publisher], 2021-01-15)
Broadly speaking, an adversarial example against a classification model occurs when a small perturbation on an input data point produces a change on the output label assigned by the model. Such adversarial examples represent ...
Artículo
Una curiosa combinación de Topología, Álgebra y Combinatoria: los cuadrados de Steenrod
(Real Sociedad Matemática Española, 1998)
Artículo
Weakly well-composed cell complexes over nD pictures
(Elsevier, 2019)
In previous work we proposed a combinatorial algorithm to \locally repair" the cubical complex Q(I) that is canonically associated with a given 3D picture I. The algorithm constructs a 3D polyhedral complex P(I) which ...
Artículo
On the stability of persistent entropy and new summary functions for Topological Data Analysis
(Cornell University, 2018)
Persistent entropy of persistence barcodes, which is based on the Shannon entropy, has been recently defined and successfully applied to different scenarios: characterization of the idiotypic immune network, detection ...